I'm going with the assumption that Delta's paralysis will only work should he land a hit of his own (if it's an automatic paralysis lasting for hours that would be to op for this tourney), and even with speed amps it'll be difficult because:
- Dark's fear manip will freeze Delta in place for at least a couple of seconds to start the fight, and even more so if they make eye contact, which gives Dark ample time to take refuge among the buildings. Even if Delta multiplies his speed tenfold the fear manip will still keep him from attacking right away
- Afterimages will make it difficult for Delta to target him properly even without fear manip, giving Dark a double advantage right away. He'll start the fight with the afterimages and hide among the Chicago skyscrapers to avoid the deadly lightning.
- If Dark immediately uses Dark Heart Quake he can get Delta off balance, and with the fear and afterimages, Dark can easily get his plans working.
Delta will be under the effect of Dark's passive fear manip like any other Monster or hero would be since he doesn't have resistance or even any supernatural willpower (which is what allows Okami to fight through it), and it will be in effect the entire fight. Delta will most likely second guess everything he thinks to do because of it. On the off chance that he gets so scared that he can't even move, Dark could catch him off guard with something like
Dark Heart Fury Attack or
Dark Heart Killer after moving through some of the buildings (or right away if he notices this upon the battle beginning). Delta doesn't seem to have many ways of detecting where Dark is either.
Regardless, paralysis isn't a slam dunk, since Dark can still avoid the lightning by using the surroundings and his afterimages + fear manip combo. He can also resort to
Dark Heart Whirlwind if he finds himself without any way to dodge.
It's also worth mentioning that Dark can and will get stronger should Delta get angered at any point